How to Find GCF of 3226/382, 7411/1766?

GCF of 3226/382, 7411/1766

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3226/382, 7411/1766 i.e 1/337306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3226/382, 7411/1766.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3226/382,7411/1766?

Given fractions are 3226/382,7411/1766

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3226/382,7411/1766, numerators are 3226,7411

Denominators are 382,1766

The GCF of 3226,7411 is 1 .

LCM of 382,1766 is 337306.

The greatest common factor of 3226/382,7411/1766 = [GCF of 3226,7411]/[LCM of 382,1766]= 1/337306

Therefore, the GCF of 3226/382,7411/1766 is 1/337306.

Greatest Common Factor of 3226,7411

To find the highest common factor of 3226,7411, we have to find the factors of both numbers and list the highest common factor.

The factors of 3226 are 1, 2, 1613, 3226

The factors of 7411 are 1, 7411

The HCF of 3226,7411 is 1.

Lets's calculate GCF of 3226,7411

Greatest Common Factor (GCF) of 3226,7411 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3226,7411 By Matching Biggest Common Factor Method

Now, list down the factors of 3226

1,2,1613,3226

Now, list down the factors of 7411

1,7411

Greatest Common Factor

We found the factors 3226,7411 . The biggest common factor number is the GCF number.
So the greatest common factor 3226,7411 is 1.

Lets's calculate LCM of 382,1766

Lowest Common Multiple of 382,1766 using Common Division

2	382, 1766
	191, 883

∴ So the LCM of the given numbers is 2 x 191 x 883 = 337306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337306

Therefore, the GCF of Fractions 3226/382,7411/1766 is 1/337306

Least Common Multiple of 382,1766 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 382,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,1766) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(382,1766) x common factors =2 x 1 = 2

LCM(382,1766) = ( 382 × 1766 ) / 2

LCM(382,1766) = 674612 / 2

LCM(382,1766) = 337306

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FAQs on GCF of Fractions of 3226/382, 7411/1766

1. What is the HCF of 3226,7411?

The HCF of 3226,7411 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3226/382, 7411/1766?

Answer: GCF of Numerators as per given numbers 3226/382, 7411/1766 is

GCF of Numerators i.e. for 3226,7411 is 1

LCM of denominators i.e. for 382,1766 is 337306.

Thus, GCF of Fractions is 1/337306.Finally, GCF of Fractions for 3226/382, 7411/1766 is 1/337306.